221011122120020 has 12 divisors (see below), whose sum is σ = 464123356452084. Its totient is φ = 88404448848000.

The previous prime is 221011122119987. The next prime is 221011122120023. The reversal of 221011122120020 is 20021221110122.

It can be written as a sum of positive squares in 2 ways, for example, as 90470762838544 + 130540359281476 = 9511612^2 + 11425426^2 .

It is a super-2 number, since 2×221011122120020² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221011122120023) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5525278052981 + ... + 5525278053020.

It is an arithmetic number, because the mean of its divisors is an integer number (38676946371007).

Almost surely, 2^{221011122120020} is an apocalyptic number.

221011122120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221011122120020 is an abundant number, since it is smaller than the sum of its proper divisors (243112234332064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221011122120020 is a wasteful number, since it uses less digits than its factorization.

221011122120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11050556106010 (or 11050556106008 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 221011122120020 its reverse (20021221110122), we get a palindrome (241032343230142).

The spelling of 221011122120020 in words is "two hundred twenty-one trillion, eleven billion, one hundred twenty-two million, one hundred twenty thousand, twenty".